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2 years ago

Write 2.3181818... as a mixed number.

Mathematics

2 answers:

Marina86 [1]2 years ago

4 0

Answer:

x = $\frac{51}{22}$ .

Step-by-step explanation:

Given : 2.3181818...

To find : write as a mixed number.

Solution : We have given that

2.3181818...

Let x = 2.3181818...

We can see the number 18 is repeating 18181818......

So, the bar line is over the two digit 18

$x = 2.318.....$ .

On multiplying the number both side by 100.

$100x = 100 * 2.318.....$ .

100x = 231.81818.....

We can write the number 231.81818..... in term of x

100x = 229 .5 + x

On subtracting both sides by x

100x -x = 229.5

99x = 229.5

On dividing both sides by 99.

x = $\frac{229.5}{99}$ .

x = $\frac{2295}{990}$ .

x = $\frac{459}{198}$ .

x = $\frac{51}{22}$ .

Therefore, x = $\frac{51}{22}$ .

Nezavi [6.7K]2 years ago

3 0

Assuming the pattern continues, let $x=2.3181818\ldots=2.3\overline{18}$ .

Then $10x=23.\overline{18}$ and $1000x=2318.\overline{18}$ , and we have

$1000x-10x=990x=2295\implies x=\dfrac{2295}{990}=\dfrac{51}{22}$

Since $51=2\cdot22+7$ , we can write $x$ as the mixed number $2+\dfrac7{22}$ .

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Answer:

The marginal-cost function is;

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Completed question;

The cost of producing x bags of dog food is given by C(x) = 800 + √(400 + 10x² - x) where 0≤x≤55000. Find the marginal-cost function.

The marginal-cost function is c'(x)=

(Use integers or fractions for any numbers in the expression.)

Step-by-step explanation:

The marginal-cost function is c'(x)= = dC(x)/dx

Where;

C(x) = 800 + √(400 + 10x² - x)

c'(x) = d(800 + √(400 + 10x² - x) )/dx

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Answer:

Part A:

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Part B:

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Part C:

Some ancestors on different branches of the family tree must be the same.
There could not have been 39 generations in my line of ancestry.

Step-by-step explanation:

Given Data:

Two Parents, Four Grand Parents, Eight great Grand Parents.

Generation=39

Solution:

Part A:

From given data Following series is made:

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Part B:

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Part C:

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$10^{11}$

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